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Finding the Fourth Proportional to 492,813.60, 739,220.40 and 343,222.80

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Solution

The fourth proportional to 492,813.60, 739,220.40 and 343,222.80 is: 514,834.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,813.60 : 739,220.40 = 343,222.80 : x
  2. Step 2: Convert to fraction form
    492,813.60/739,220.40 = 343,222.80/x
  3. Step 3: Cross multiply
    492,813.60x = 739,220.40 × 343,222.80
  4. Step 4: Simplify right side
    492,813.60x = 253,717,295,505.12
  5. Step 5: Solve for x
    x = 253,717,295,505.12/492,813.60
  6. Step 6: Final answer
    x = 514,834.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.